A Dufort-Frankel Difference Scheme for Two-Dimensional Sine-Gordon Equation

Hdl Handle:
http://hdl.handle.net/10034/579442
Title:
A Dufort-Frankel Difference Scheme for Two-Dimensional Sine-Gordon Equation
Authors:
Liang, Zongqi; Yan, Yubin; Cai, Guorong
Abstract:
A standard Crank-Nicolson finite-difference scheme and a Dufort-Frankel finite-difference scheme are introduced to solve two-dimensional damped and undamped sine-Gordon equations. The stability and convergence of the numerical methods are considered. To avoid solving the nonlinear system, the predictor-corrector techniques are applied in the numerical methods. Numerical examples are given to show that the numerical results are consistent with the theoretical results.
Affiliation:
University of Chester
Citation:
Liang, Z., Yan, Y., & Cai, G. (2014). A Dufort-Frankel Difference Scheme for Two-Dimensional Sine-Gordon Equation. Discrete Dynamics in Nature and Society, 2014, 22. doi: 10.1155/2014/784387
Publisher:
Hindawi Publishing Corporation
Journal:
Discrete Dynamics in Nature and Society
Publication Date:
Oct-2014
URI:
http://hdl.handle.net/10034/579442
DOI:
10.1155/2014/784387
Additional Links:
http://www.hindawi.com/journals/ddns/2014/784387/
Type:
Article
Language:
en
ISSN:
1026-0226; 1607-887X
Appears in Collections:
Mathematics

Full metadata record

DC FieldValue Language
dc.contributor.authorLiang, Zongqien
dc.contributor.authorYan, Yubinen
dc.contributor.authorCai, Guorongen
dc.date.accessioned2015-10-07T14:11:51Zen
dc.date.available2015-10-07T14:11:51Zen
dc.date.issued2014-10en
dc.identifier.citationLiang, Z., Yan, Y., & Cai, G. (2014). A Dufort-Frankel Difference Scheme for Two-Dimensional Sine-Gordon Equation. Discrete Dynamics in Nature and Society, 2014, 22. doi: 10.1155/2014/784387en
dc.identifier.issn1026-0226en
dc.identifier.issn1607-887Xen
dc.identifier.doi10.1155/2014/784387en
dc.identifier.urihttp://hdl.handle.net/10034/579442en
dc.description.abstractA standard Crank-Nicolson finite-difference scheme and a Dufort-Frankel finite-difference scheme are introduced to solve two-dimensional damped and undamped sine-Gordon equations. The stability and convergence of the numerical methods are considered. To avoid solving the nonlinear system, the predictor-corrector techniques are applied in the numerical methods. Numerical examples are given to show that the numerical results are consistent with the theoretical results.en
dc.language.isoenen
dc.publisherHindawi Publishing Corporationen
dc.relation.urlhttp://www.hindawi.com/journals/ddns/2014/784387/en
dc.rightsArchived with thanks to Discrete Dynamics in Nature and Societyen
dc.rightsAn error occurred on the license name.*
dc.rights.uriAn error occurred getting the license - uri.*
dc.subjectfinite difference methoden
dc.subjectSIne-Gordon equationen
dc.subjectDufort-Frankel difference schemeen
dc.titleA Dufort-Frankel Difference Scheme for Two-Dimensional Sine-Gordon Equationen
dc.typeArticleen
dc.contributor.departmentUniversity of Chesteren
dc.identifier.journalDiscrete Dynamics in Nature and Societyen
All Items in ChesterRep are protected by copyright, with all rights reserved, unless otherwise indicated.